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math.AG2024
On the coupled Ding stability and the Yau--Tian--Donaldson correspondence for Fano manifolds
Kento Fujita, Yoshinori Hashimoto
We interpret the coupled Ding semistability and the reduced coupled uniform Ding stability of log Fano pairs in the notion of coupled stability thresholds and reduced coupled stabi…
math.AG2024
On the coupled stability thresholds of graded linear series
Kento Fujita
In this paper, we see several basic properties of graded linear series. We firstly see that, if a graded linear series contains an ample series, then so are the pullbacks of the sy…